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Finding the Fourth Proportional to 488.21, 731.81 and 303.11

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Solution

The fourth proportional to 488.21, 731.81 and 303.11 is: 454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 731.81 = 303.11 : x
  2. Step 2: Convert to fraction form
    488.21/731.81 = 303.11/x
  3. Step 3: Cross multiply
    488.21x = 731.81 × 303.11
  4. Step 4: Simplify right side
    488.21x = 221,820.76
  5. Step 5: Solve for x
    x = 221,820.76/488.21
  6. Step 6: Final answer
    x = 454.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.